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Title: Physics-based control-oriented modeling of the current density profile evolution in NSTX-Upgrade

Abstract

Active control of the toroidal current density profile is among those plasma control milestones that the National Spherical Torus eXperiment-Upgrade (NSTX-U) program must achieve to realize its next-step operational goals. Motivated by the coupled, nonlinear, multivariable, distributed-parameter plasma dynamics, the first step towards control design is the development of a physics-based, control-oriented model for the current profile evolution in response to non-inductive current drives and heating systems. The evolution of the toroidal current density profile is closely related to the evolution of the poloidal magnetic flux profile, whose dynamics is modeled by a nonlinear partial differential equation (PDE) referred to as the magnetic-flux diffusion equation (MDE). The proposed control-oriented model predicts the spatial-temporal evolution of the current density profile by combining the nonlinear MDE with physics-based correlations obtained at NSTX-U for the electron density, electron temperature, and non-inductive current drives (neutral beams). The resulting first-principles-driven, control-oriented model is tailored for NSTX-U based on predictions by the time-dependent transport code TRANSP. Furthermore, main objectives and possible challenges associated with the use of the developed model for the design of both feedforward and feedback controllers are also discussed.

Authors:
 [1];  [1];  [1];  [2];  [2];  [2]
  1. Lehigh Univ., Bethlehem, PA (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1465372
Alternate Identifier(s):
OSTI ID: 1631795
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Fusion Engineering and Design
Additional Journal Information:
Journal Volume: 123; Journal Issue: C; Journal ID: ISSN 0920-3796
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Plasma engineering; Tokamak plasma control; Current profile control; Model-based control

Citation Formats

Ilhan, Zeki O., Barton, Justin E., Schuster, Eugenio, Gates, David A., Gerhardt, Stefan P., and Menard, Jonathan E. Physics-based control-oriented modeling of the current density profile evolution in NSTX-Upgrade. United States: N. p., 2017. Web. doi:10.1016/j.fusengdes.2017.04.028.
Ilhan, Zeki O., Barton, Justin E., Schuster, Eugenio, Gates, David A., Gerhardt, Stefan P., & Menard, Jonathan E. Physics-based control-oriented modeling of the current density profile evolution in NSTX-Upgrade. United States. https://doi.org/10.1016/j.fusengdes.2017.04.028
Ilhan, Zeki O., Barton, Justin E., Schuster, Eugenio, Gates, David A., Gerhardt, Stefan P., and Menard, Jonathan E. Thu . "Physics-based control-oriented modeling of the current density profile evolution in NSTX-Upgrade". United States. https://doi.org/10.1016/j.fusengdes.2017.04.028. https://www.osti.gov/servlets/purl/1465372.
@article{osti_1465372,
title = {Physics-based control-oriented modeling of the current density profile evolution in NSTX-Upgrade},
author = {Ilhan, Zeki O. and Barton, Justin E. and Schuster, Eugenio and Gates, David A. and Gerhardt, Stefan P. and Menard, Jonathan E.},
abstractNote = {Active control of the toroidal current density profile is among those plasma control milestones that the National Spherical Torus eXperiment-Upgrade (NSTX-U) program must achieve to realize its next-step operational goals. Motivated by the coupled, nonlinear, multivariable, distributed-parameter plasma dynamics, the first step towards control design is the development of a physics-based, control-oriented model for the current profile evolution in response to non-inductive current drives and heating systems. The evolution of the toroidal current density profile is closely related to the evolution of the poloidal magnetic flux profile, whose dynamics is modeled by a nonlinear partial differential equation (PDE) referred to as the magnetic-flux diffusion equation (MDE). The proposed control-oriented model predicts the spatial-temporal evolution of the current density profile by combining the nonlinear MDE with physics-based correlations obtained at NSTX-U for the electron density, electron temperature, and non-inductive current drives (neutral beams). The resulting first-principles-driven, control-oriented model is tailored for NSTX-U based on predictions by the time-dependent transport code TRANSP. Furthermore, main objectives and possible challenges associated with the use of the developed model for the design of both feedforward and feedback controllers are also discussed.},
doi = {10.1016/j.fusengdes.2017.04.028},
journal = {Fusion Engineering and Design},
number = C,
volume = 123,
place = {United States},
year = {Thu May 11 00:00:00 EDT 2017},
month = {Thu May 11 00:00:00 EDT 2017}
}

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